The isoperimetric inequality and the total absolute curvature of closed curves in spheres

DOI10.1007/BF02567070zbMath0754.53009MaRDI QIDQ1197350

Eberhard Teufel

Publication date: 16 January 1993

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155709

zbMATH Keywords

winding numberbounds for the total absolute curvature

Mathematics Subject Classification ID

Integral geometry (53C65) Curves in Euclidean and related spaces (53A04)

Related Items (5)

The total absolute curvature of nonclosed curves in \(S^2\) ⋮ The elastic flow of curves on the sphere ⋮ The Willmore flow of Hopf-tori in the 3-sphere ⋮ Total curvature and some characterizations of closed curves in \(\mathrm{CAT}(k)\) spaces ⋮ On the geodesic curvature of Riemannian loops

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